What is a system of equations?
Solving Systems of Equations

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•
Mathematics
•
8th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A set of two or more equations with the same variables that are solved together.
2.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means that the equations represent parallel lines that never intersect.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have infinite solutions?
Back
It means that the equations represent the same line, so every point on the line is a solution.
4.
FLASHCARD QUESTION
Front
How do you solve a system of equations using substitution?
Back
1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.
5.
FLASHCARD QUESTION
Front
How do you solve a system of equations using elimination?
Back
1. Align the equations. 2. Multiply one or both equations to get opposite coefficients. 3. Add or subtract the equations to eliminate one variable.
6.
FLASHCARD QUESTION
Front
What is the graphical representation of a system of equations?
Back
The solution is the point(s) where the graphs of the equations intersect.
7.
FLASHCARD QUESTION
Front
What is the first step in solving the system: 3x + 2y = 16 and 7x + y = 19?
Back
You can use either substitution or elimination to start solving the system.
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